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Connection between singular arcs in optimal control using bridges. Physical occurence and Mathematical model
Abstract : In the time minimal control problem, singular arcs are omnipresent to determine the optimal solutions and leads to the well known turnpike phenomenon [1]. Very recently, this connection between singular arcs using a bang arc was shown to be relevant to saturate a single spin in Magnetic Resonance Imaging. Based on this example we propose a mathematical model to analyze such connection, which is called a bridge. This is applied to compute bridges in the optimization of chemical reaction networks using temperature control.
Cited literature [14 references]
https://hal.inria.fr/hal-02050014
Contributor : Jérémy Rouot <>
Submitted on : Monday, November 4, 2019 - 9:48:36 AM
Last modification on : Thursday, January 28, 2021 - 10:28:03 AM
Contributor : Jérémy Rouot <>
Submitted on : Monday, November 4, 2019 - 9:48:36 AM
Last modification on : Thursday, January 28, 2021 - 10:28:03 AM
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cdc_reactor2019.pdf
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